54946944 has 128 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 16892928.

The previous prime is 54946943. The next prime is 54946963. The reversal of 54946944 is 44964945.

54946944 is a `hidden beast` number, since 549 + 4 + 69 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 54946944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54946943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44317 + ... + 45539.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 2^54946944 is an apocalyptic number.

54946944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

54946944 is an abundant number, since it is smaller than the sum of its proper divisors (119840256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54946944 is a wasteful number, since it uses less digits than its factorization.

54946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1241 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 54946944 is about 7412.6205892383. The cubic root of 54946944 is about 380.1729222217.

The spelling of 54946944 in words is "fifty-four million, nine hundred forty-six thousand, nine hundred forty-four".